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Morita equivalence in the context of Hilbert modules

Jan Paseka

math.OAarXiv:math/0204112

Abstract

The Morita equivalence of m-regular involutive quantales in the context of the theory of Hilbert A-modules is presented. The corresponding fundamental representation theorems are shown. We also prove that two commutative m-regular involutive quantales are Morita equivalent if and only if they are isomorphic

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